I have not landed in Mumbai, so I am not sure if there is any discrimination with your skin colour.
Even one of my cousin (who is a US citizen by birth) was not allowed to enter India without a valid visa. And there is nothing wrong in that. I do not think that US officers will allow with faxed copies of VISA\'s.
The message is as simple If you do not have the eligible documents to enter india, you will not be allowed.